Is it true that the active referee must check the alternating possession arrow after a live ball?

The active referee is not required to check the alternating possession arrow after a live ball. The alternating possession arrow is used to determine which team gains possession at the start of a jump ball situation or after a held ball situation. Since the arrow is not relevant during the flow of live ball play, it is not necessary for the active referee to check it immediately after a live ball. The responsibility for monitoring the possession arrow typically falls to the crew, especially at stoppages or specific situations designated for its use, but does not pertain to routine checks during active gameplay.

As for the other options, the need to check the arrow only in overtime or after a dispute does not align with how the possession arrow is intended to function during normal game play. The arrow is updated at specific game transitions rather than being a constant focus during active play.